发表机构
Westlake University（西湖大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出解析对偶共振（ADR）条件，通过极点求和与配对关系唯一确定标量弦振幅，并验证高维捏合关系，揭示弦相互作用唯一性的解析基础。
AI 中文摘要
对偶共振通过不同道中的极点展开重构散射振幅。我们提出解析对偶共振（ADR），要求整数共振处的完整主导极点求和允许绝对收敛的局部围道积分。ADR 在任意三角剖分中产生残差之间的一维配对关系。结合整数平面谱、联合交叉自旋界以及允许无减除重构的复 Regge 衰减，这些关系唯一确定了每个 n≥5 的标量弦振幅。ADR 还预测了更高维的捏合关系，我们在五点与六点处进行了检验。这些结果将对偶共振的解析结构与弦相互作用的唯一性联系起来。
英文摘要
Dual resonance reconstructs a scattering amplitude from pole expansions in different channels. We propose analytic dual resonance (ADR), requiring that the complete leading pole sum at an integer resonance admit an absolutely convergent local contour integral. ADR yields one-dimensional pairing relations between residues in arbitrary triangulations. Together with an integer planar spectrum, a joint crossing-spin bound, and complex Regge decay permitting unsubtracted reconstruction, these relations uniquely fix the scalar string amplitude for every $n\ge5$. ADR also predicts higher-dimensional pinch relations, which we examine at five and six points. These results connect the analytic structure of dual resonance to the uniqueness of string interactions.
Comments5 pages + appendices, 2 figures
